Answer with Explanation:
We are given that
Current in conductor=I=4.99 A (-x direction)
Magnetic field=B=
(1mT=
)
x(in m) and B (in mT)
Length of conductor is given in negative x- direction


Force on current carrying conductor is given by


Integrating on both sides then we get

(
![\vec{F}=-(4.99\times 10^{-3}\times 8.72)[\frac{x^3\hat{k}}{3}]^{2.77}_{1.41}](https://tex.z-dn.net/?f=%5Cvec%7BF%7D%3D-%284.99%5Ctimes%2010%5E%7B-3%7D%5Ctimes%208.72%29%5B%5Cfrac%7Bx%5E3%5Chat%7Bk%7D%7D%7B3%7D%5D%5E%7B2.77%7D_%7B1.41%7D)


a. x- component of force=0
b.y- component of force=0
c.z- component of force=-0.268 N
1) Call F1 the larger force and F1x and F1y its its x-and-y- components.respectively.
I will use the complementary angle: 90 - 25 = 65 to work with the normal convention.
=> cos(65) = F1x / F1 => F1x = - F1*cos(65) (I choose negative as the west direction)
=> sin(65) = F1y / F1 => F1y = F1*sin(65) (I choose positive the north direction)
2) Call F2 the shorter force and F2x and F2y its components
=> cos(x) = F2x / F2 => F2x = F2*cos(x)
=> sin(x) = F2y / F2=> F2y = F2*sin(x)
3) You know that:
- F1 = 2F2
- The net force in the y direction is 430 N
- The net force in the x direction is 0
a) F1x + F2x = 0
=> -F1*cos(65) + F2*sin(x) = 0
=> F1*cos(65) = F2 sin(x) => sin(x) = [F1/F2] cos(65)
Remember F1 = 2F2 => F1/F2 = 2 => sin(x) = 2 cos(65) = 0.84524
=> x = arcsin(0.84524) = 57.7
b) F1y + F2y = 430 =>
F1 sin(65) + F2*sin(57.7) = 430 =>
0.9060F1 + 0.84524F2 430
F1 = 2F2 => 0.9060*2F2 + 0.84524F2 = 430 => 1.7512F2 = 430
=> F2 = 430 / 1.7512 = 245.54 N
=> F1 = 2*245.54 =491.1N
There you have the two forces.
The angle of the shorter force is 57.7 measured from the east to the north (this is north of east), which would be 90 - 57.7 = 32.3 degrees east of north..
Then the shorter force is 245.5 N at 32.3 degrees east of north
And the larger force is 491.1 N at 25.0 degrees west of north.
Multiply the numerator and denominator of the first fraction by 3. Multiply the numerator and denominator of the second fraction by 4. Subtract. 9 twelfths minus 4 twelfths equals 5 twelfths.
Answer:
"When neutral objects are brought near the sphere, they are attracted to the sphere before they touch each other."
Explanation:
Charging by induction is said to occur when an uncharged object is brought near a charged body and it gets attracted towards it without even the two bodies touching.
The charged body polarizes the uncharged body. The charges shift to either sides and that causes the force of attraction between the two.
Suppose a negatively charged body is brought close to an uncharged body. The electrons of the body repel from the side near to the charged body and shift to the other end leaving behind positive ions.
The last line of the given paragraph indicates that charges can be moved by induction.